Question

Drag and drop the correct notation into each box for every description of the interval shown on the
number line.
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1
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3
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תU
5
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8
Inequality:
x>3
X<3
{x | x > 3)
{x | x <3}
Set notation:
[3, +)
(3, +00)
Interval notation:
?

Answer 1

Answer:

Inequality: $x \geq\ 3$

Set Notation: $\{x | x \geq\ 3\}$

Interval: $[3, +oo)$

Step-by-step explanation:

Given

The Attached Number Line

Solving (a): The Inequality

i. On the number line, we notice that a thick line starts at number 3 and points to the right

ii. Also, there is a closed circle on number 3.

(i) & (ii) indicates that $x \geq\ 3$

Solving (b): Set Notation

The set notation that indicates $x \geq\ 3$ is

$\{x | x \geq\ 3\}$

Solving (c): The interval notation

The inequality $x \geq\ 3$ implies that x starts from 3 and moves towards +infinity

The means that 3 is inclusive of the inequality

Hence:

The interval notation is $[3, +oo)$